61789530624 has 160 divisors (see below), whose sum is σ = 174545274816. Its totient is φ = 19357040640.

The previous prime is 61789530617. The next prime is 61789530683. The reversal of 61789530624 is 42603598716.

It is a Cunningham number, because it is equal to 248575²-1.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25353534 + ... + 25355970.

It is a 2-persistent number, because it is pandigital, and so is 2⋅61789530624 = 123579061248, but 3⋅61789530624 = 185368591872 is not.

Almost surely, 2^61789530624 is an apocalyptic number.

61789530624 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61789530624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87272637408).

61789530624 is an abundant number, since it is smaller than the sum of its proper divisors (112755744192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61789530624 is a wasteful number, since it uses less digits than its factorization.

61789530624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3446 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 61789530624 in words is "sixty-one billion, seven hundred eighty-nine million, five hundred thirty thousand, six hundred twenty-four".